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Finding the Fourth Proportional to 2,777.51, 4,157.96 and 1,678.55

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Solution

The fourth proportional to 2,777.51, 4,157.96 and 1,678.55 is: 2,512.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.51 : 4,157.96 = 1,678.55 : x
  2. Step 2: Convert to fraction form
    2,777.51/4,157.96 = 1,678.55/x
  3. Step 3: Cross multiply
    2,777.51x = 4,157.96 × 1,678.55
  4. Step 4: Simplify right side
    2,777.51x = 6,979,314.58
  5. Step 5: Solve for x
    x = 6,979,314.58/2,777.51
  6. Step 6: Final answer
    x = 2,512.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.